Results 51 to 60 of about 454,219 (256)

Distance Fibonacci Polynomials by Graph Methods

Symmetry, 2021
In this paper we introduce and study a new generalization of Fibonacci polynomials which generalize Fibonacci, Jacobsthal and Narayana numbers, simultaneously. We give a graph interpretation of these polynomials and we obtain a binomial formula for them.
D. Strzałka, S. Wolski, A. Włoch
semanticscholar   +1 more source

A Study on Fibonacci and Lucas Bihypernomials

Discussiones Mathematicae - General Algebra and Applications, 2022
The bihyperbolic numbers are extension of hyperbolic numbers to four dimensions. In this paper we introduce and study the Fibonacci and Lucas bihypernomials, i.e., polynomials, which are a generalization of the bihyperbolic Fibonacci numbers and the ...
Szynal-Liana Anetta, Włoch Iwona
doaj   +1 more source

“Generating matrix for Generalized Fibonacci numbers and Fibonacci polynomials

Journal of Physics: Conference Series, 2022
Many researchers have been working on recurrence relation sequences of numbers and polynomials which are useful topic not only in mathematics but also in physics, economics and various applications in many other fields.
Mannu Arya, V. Verma
semanticscholar   +1 more source

Fejér-Quadrature Collocation Algorithm for Solving Fractional Integro-Differential Equations via Fibonacci Polynomials

Contemporary Mathematics
In this article, we introduce a novel spectral algorithm utilizing Fibonacci polynomials to numerically solve both linear and nonlinear integro-differential equations with fractional-order derivatives. Our approach employs a quadrature-collocation method,
Youssri Hassan Youssri, A. G. Atta
semanticscholar   +1 more source

Fibonacci polynomials

Pure and Applied Mathematics Quarterly
The Fibonacci polynomials $\big\{F_n(x)\big\}_{n\ge 0}$ have been studied in multiple ways. In this paper we study them by means of the theory of Heaps of Viennot. In this setting our polynomials form a basis $\big\{P_n(x)\big\}_{n\ge 0}$ with $P_n(x)$ monic of degree $n$. This given, we are forced to set $P_n(x)=F_{n+1}(x)$.
Garsia, A., Ganzberger, G.
openaire   +2 more sources

A Family of Bi-Univalent Functions Defined by( p, q)-Derivative Operator Subordinate to a GeneralizedBivariate Fibonacci Polynomials

European Journal of Pure and Applied Mathematics
Making use of a generalized bivariate Fibonacci polynomials, we propose a family of normalized regular functions ψ(ζ) = ζ + d2ζ2 + d3ζ3 + · · · , which are bi-univalent in the disc {ζ ∈ C : |ζ| < 1} involving (p, q)-derivative operator. We find estimates
B. Frasin, S. R. Swamy, A. Amourah, J. Salah, Ranjitha Hebbar Maheshwarappa   +4 more
semanticscholar   +1 more source

On Certain Properties of Parametric Kinds of Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Axioms
This paper presents an overview of cosine and sine Apostol-type Frobenius–Euler–Fibonacci polynomials, as well as several identities that are associated with these polynomials.
Hao Guan, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

Novel Approach by Shifted Fibonacci Polynomials for Solving the Fractional Burgers Equation

Fractal and Fractional
This paper analyzes a novel use of the shifted Fibonacci polynomials (SFPs) to treat the time-fractional Burgers equation (TFBE). We first develop the fundamental formulas of these polynomials, which include their power series representation and the ...
Mohammed H. Alharbi, Abdullah F. Abu Sunayh, A. G. Atta, W. Abd-Elhameed   +3 more
semanticscholar   +1 more source

On Higher-Order Generalized Fibonacci Hybrinomials: New Properties, Recurrence Relations and Matrix Representations

Mathematics
This paper presents a comprehensive survey of the generalization of hybrid numbers and hybrid polynomials, particularly in the fields of mathematics and physics.
Can Kızılateş, Wei-Shih Du, Nazlıhan Terzioğlu   +2 more
doaj   +1 more source

Incomplete Bivariate Fibonacci and Lucas 𝑝-Polynomials

Discrete Dynamics in Nature and Society, 2012
We define the incomplete bivariate Fibonacci and Lucas 𝑝-polynomials. In the case 𝑥=1, 𝑦=1, we obtain the incomplete Fibonacci and Lucas 𝑝-numbers. If 𝑥=2, 𝑦=1, we have the incomplete Pell and Pell-Lucas 𝑝-numbers.
Dursun Tasci, Mirac Cetin Firengiz, Naim Tuglu   +2 more
doaj   +1 more source